{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DQLB5RD7NQACO4O2WXSRLXALSK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a8991913cdc948fd847bc3e87a2f7095dd5876f3ea4e9a47fd66a5d135b60552","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-09-01T20:24:55Z","title_canon_sha256":"ad6ecc197612008c5cd6bfa93566c3abb0607758d3812cc558d5a2c2098890ed"},"schema_version":"1.0","source":{"id":"1609.00396","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.00396","created_at":"2026-05-18T01:06:23Z"},{"alias_kind":"arxiv_version","alias_value":"1609.00396v1","created_at":"2026-05-18T01:06:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00396","created_at":"2026-05-18T01:06:23Z"},{"alias_kind":"pith_short_12","alias_value":"DQLB5RD7NQAC","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DQLB5RD7NQACO4O2","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DQLB5RD7","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:d09a7c299899db207429711522ab2a6535aa70e5e3e4fb3736cece86845eb914","target":"graph","created_at":"2026-05-18T01:06:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We investigate the language classes recognized by group automata over matrix groups. We present a summary of the results obtained so far together with a number of new results. We look at the computational power of time-bounded group automata where the group under consideration has polynomial growth.","authors_text":"A.C.Cem Say, Flavio D'Alessandro, \\\"Ozlem Salehi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-09-01T20:24:55Z","title":"Language Classes Associated with Automata Over Matrix Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00396","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ba8ef01e42f69910bfbc2d8f8b4c746ad371a79e7474c101acc06d2c1e545a3c","target":"record","created_at":"2026-05-18T01:06:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a8991913cdc948fd847bc3e87a2f7095dd5876f3ea4e9a47fd66a5d135b60552","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-09-01T20:24:55Z","title_canon_sha256":"ad6ecc197612008c5cd6bfa93566c3abb0607758d3812cc558d5a2c2098890ed"},"schema_version":"1.0","source":{"id":"1609.00396","kind":"arxiv","version":1}},"canonical_sha256":"1c161ec47f6c002771dab5e515dc0b929bb0bf03d26351936b72b630d8b94559","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c161ec47f6c002771dab5e515dc0b929bb0bf03d26351936b72b630d8b94559","first_computed_at":"2026-05-18T01:06:23.951463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:23.951463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GAhyRn6+DCmwHULO6nZ0tN4SsI24X5P1I09c/+rTAhiNYw4uYNHIaWyhX8fmVCu+kMapVjxJsGdrSWc3aGzPCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:23.951891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.00396","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba8ef01e42f69910bfbc2d8f8b4c746ad371a79e7474c101acc06d2c1e545a3c","sha256:d09a7c299899db207429711522ab2a6535aa70e5e3e4fb3736cece86845eb914"],"state_sha256":"e628e075e954f1bf805467094a5a60176d15355087c3556cfb70943e14956528"}